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受欢迎的代数 >

(x)=-4x+0.05x^2+240

解答

(x) = - 4 x + 0.05 x^{2} + 240

解答

x = 50 + 1023 i, x = 50 - 1023 i

求解步骤

(x) = - 4 x + 0.05 x^{2} + 240

在两边乘以

100

x \cdot 100 = - 400 x + 5 x^{2} + 24000

交换两边

- 400 x + 5 x^{2} + 24000 = x \cdot 100

将

x 100

para o lado esquerdo

5 x^{2} - 500 x + 24000 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 500 ) \pm ( - 500 ) ^{2} - 4 \cdot 5 \cdot 24000}{2 \cdot 5}

化简

(- 500)^{2} - 4 \cdot 5 \cdot 24000 : 10023 i

x_{1, 2} = \frac{- ( - 500 ) \pm 100 23 i}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- ( - 500 ) + 100 23 i}{2 \cdot 5}, x_{2} = \frac{- ( - 500 ) - 100 23 i}{2 \cdot 5}

x = \frac{- ( - 500 ) + 100 23 i}{2 \cdot 5} : 50 + 1023 i

x = \frac{- ( - 500 ) - 100 23 i}{2 \cdot 5} : 50 - 1023 i

二次方程组的解是:

x = 50 + 1023 i, x = 50 - 1023 i

作图

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